The mod-2 cohomology of metacyclic 2-groups

DOI10.1016/0022-4049(87)90035-1zbMath0623.55006OpenAlexW2045115910MaRDI QIDQ1091634

David J. Rusin

Publication date: 1987

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(87)90035-1

zbMATH Keywords

Steenrod algebraEilenberg-Moore spectral sequencemod-2 cohomology rings of finite 2-groups

Mathematics Subject Classification ID

Homological methods in group theory (20J05) Steenrod algebra (55S10) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Eilenberg-Moore spectral sequences (55T20)

Related Items (13)

On the restriction map in the \(\text{mod-}2\) cohomology of groups ⋮ The \(\text{mod }p\) cohomology algebras of finite groups with metacyclic Sylow \(p\)-subgroups ⋮ Effective spectral systems relating Serre and Eilenberg-Moore spectral sequences ⋮ COCHAIN SEQUENCES AND THE QUILLEN CATEGORY OF A COCLASS FAMILY ⋮ The restriction map in cohomology of finite 2-groups ⋮ The \(2\)-groups of rank \(2\) ⋮ Kernels of the restriction and inflation maps in group cohomology ⋮ Bockstein closed 2-group extensions and cohomology of quadratic maps. ⋮ The mod-2 cohomology of \(32\Gamma_3f\). ⋮ Stiefel-Whitney classes of real representations of finite groups ⋮ The mod-p cohomology rings of metacyclic groups ⋮ On The Homotopy Type of 𝐵𝐺 for Certain Finite 2-Groups 𝐺 ⋮ Semicharacteristics, Bordism, and Free Group Actions

Cites Work

• The mod p cohomology rings of the nonabelian split metacyclic p-groups
• On the Künneth theorem. I: The Eilenberg-Moore spectral sequence
• Generalizations of Certain Elementary Theorems on p -Groups
• Unnamed Item

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